%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV517+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:56:03 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV517+1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:34:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.unaryUnion (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.non_overlapping (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.empty_set $$unsorted) % 0.39/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.insertIntoMember (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.60 (define @t6 () (@list @t2)) % 0.39/0.60 (define @t7 () (tptp.subset @t4 @t1)) % 0.39/0.60 (define @t8 () (@list @t4 @t1)) % 0.39/0.60 (define @t9 () (@list @t2 @t4)) % 0.39/0.60 (define @t10 () (and @t5 @t3)) % 0.39/0.60 (define @t11 () (@list @t2 @t4 @t1)) % 0.39/0.60 (define @t12 () (@var "E" $$unsorted)) % 0.39/0.60 (define @t13 () (= @t2 @t4)) % 0.39/0.60 (define @t14 () (tptp.singleton @t4)) % 0.39/0.60 (define @t15 () (tptp.member @t2 @t14)) % 0.39/0.60 (define @t16 () (= @t15 @t13)) % 0.39/0.60 (define @t17 () (forall @t9 @t16)) % 0.39/0.60 (define @t18 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t19 () (tptp.member @t2 @t18)) % 0.39/0.60 (define @t20 () (tptp.member @t18 @t4)) % 0.39/0.60 (define @t21 () (and @t20 @t19)) % 0.39/0.60 (define @t22 () (@list @t18)) % 0.39/0.60 (define @t23 () (exists @t22 @t21)) % 0.39/0.60 (define @t24 () (= @t2 @t18)) % 0.39/0.60 (define @t25 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t26 () (tptp.member @t25 @t18)) % 0.39/0.60 (define @t27 () (tptp.member @t25 @t2)) % 0.39/0.60 (define @t28 () (and @t27 @t26)) % 0.39/0.60 (define @t29 () (@list @t25)) % 0.39/0.60 (define @t30 () (exists @t29 @t28)) % 0.39/0.60 (define @t31 () (=> @t30 @t24)) % 0.39/0.60 (define @t32 () (and @t5 @t20)) % 0.39/0.60 (define @t33 () (=> @t32 @t31)) % 0.39/0.60 (define @t34 () (@list @t2 @t18)) % 0.39/0.60 (define @t35 () (forall @t34 @t33)) % 0.39/0.60 (define @t36 () (tptp.member @t2 @t12)) % 0.39/0.60 (define @t37 () (=> @t36 @t23)) % 0.39/0.60 (define @t38 () (forall @t6 @t37)) % 0.39/0.60 (define @t39 () (tptp.subset @t2 @t12)) % 0.39/0.60 (define @t40 () (forall @t6 (=> @t5 @t39))) % 0.39/0.60 (define @t41 () (and @t40 @t38 @t35)) % 0.39/0.60 (define @t42 () (tptp.partition @t4 @t12)) % 0.39/0.60 (define @t43 () (= @t42 @t41)) % 0.39/0.60 (define @t44 () (forall (@list @t4 @t12) @t43)) % 0.39/0.60 (define @t45 () (@var "R" $$unsorted)) % 0.39/0.60 (define @t46 () (tptp.apply @t45 @t2 @t18)) % 0.39/0.60 (define @t47 () (=> (and @t46 (tptp.apply @t45 @t18 @t25)) (tptp.apply @t45 @t2 @t25))) % 0.39/0.60 (define @t48 () (@list @t2 @t18 @t25)) % 0.39/0.60 (define @t49 () (tptp.apply @t45 @t2 @t2)) % 0.39/0.60 (define @t50 () (@var "U" $$unsorted)) % 0.39/0.60 (define @t51 () (tptp.singleton @t1)) % 0.39/0.60 (define @t52 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t53 () (@var "D" $$unsorted)) % 0.39/0.60 (define @t54 () (@var "S" $$unsorted)) % 0.39/0.60 (define @t55 () (tptp.member @t2 @t54)) % 0.39/0.60 (define @t56 () (@var "P" $$unsorted)) % 0.39/0.60 (define @t57 () (tptp.member @t54 (tptp.difference @t56 @t51))) % 0.39/0.60 (define @t58 () (and @t57 @t55)) % 0.39/0.60 (define @t59 () (@list @t54)) % 0.39/0.60 (define @t60 () (exists @t59 @t58)) % 0.39/0.60 (define @t61 () (tptp.partition @t56 @t4)) % 0.39/0.60 (define @t62 () (tptp.member @t2 (tptp.difference @t4 @t1))) % 0.39/0.60 (define @t63 () (and @t62 @t61)) % 0.39/0.60 (define @t64 () (=> @t63 @t60)) % 0.39/0.60 (define @t65 () (@list @t2 @t4 @t1 @t56)) % 0.39/0.60 (define @t66 () (forall @t65 @t64)) % 0.39/0.60 (define @t67 () (not @t66)) % 0.39/0.60 (define @t68 () (not (forall @t59 (or (not @t57) (not @t55))))) % 0.39/0.60 (define @t69 () (not @t61)) % 0.39/0.60 (define @t70 () (not @t62)) % 0.39/0.60 (define @t71 () (or @t70 @t69 @t68)) % 0.39/0.60 (define @t72 () (forall @t65 @t71)) % 0.39/0.60 (define @t73 () (@quantifiers_skolemize @t72 1)) % 0.39/0.60 (define @t74 () (@quantifiers_skolemize @t72 2)) % 0.39/0.60 (define @t75 () (@quantifiers_skolemize @t72 0)) % 0.39/0.60 (define @t76 () (forall @t59 (not @t58))) % 0.39/0.60 (define @t77 () (not @t76)) % 0.39/0.60 (define @t78 () (tptp.member @t75 (tptp.difference @t73 @t74))) % 0.39/0.60 (define @t79 () (tptp.singleton @t74)) % 0.39/0.60 (define @t80 () (@quantifiers_skolemize @t72 3)) % 0.39/0.60 (define @t81 () (tptp.difference @t80 @t79)) % 0.39/0.60 (define @t82 () (forall @t59 (or (not (tptp.member @t54 @t81)) (not (tptp.member @t75 @t54))))) % 0.39/0.60 (define @t83 () (not @t82)) % 0.39/0.60 (define @t84 () (tptp.partition @t80 @t73)) % 0.39/0.60 (define @t85 () (not @t84)) % 0.39/0.60 (define @t86 () (not @t78)) % 0.39/0.60 (define @t87 () (or @t86 @t85 @t83)) % 0.39/0.60 (define @t88 () (@list true)) % 0.39/0.60 (define @t89 () (@list @t87)) % 0.39/0.60 (define @t90 () (not (tptp.member @t75 @t74))) % 0.39/0.60 (define @t91 () (tptp.member @t75 @t73)) % 0.39/0.60 (define @t92 () (and @t91 @t90)) % 0.39/0.60 (define @t93 () (= @t78 @t92)) % 0.39/0.60 (define @t94 () (@list false false)) % 0.39/0.60 (define @t95 () (not @t92)) % 0.39/0.60 (define @t96 () (@list false)) % 0.39/0.60 (define @t97 () (@list @t92)) % 0.39/0.60 (define @t98 () (not (tptp.member @t18 @t80))) % 0.39/0.60 (define @t99 () (forall @t22 (or @t98 (not (tptp.member @t75 @t18))))) % 0.39/0.60 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.39/0.60 (define @t101 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 0.39/0.60 (define @t102 () (not (tptp.member @t101 @t18))) % 0.39/0.60 (define @t103 () (not (tptp.member @t101 @t2))) % 0.39/0.60 (define @t104 () (not @t20)) % 0.39/0.60 (define @t105 () (not @t5)) % 0.39/0.60 (define @t106 () (or @t103 @t102)) % 0.39/0.60 (define @t107 () (or @t105 @t104 @t106 @t24)) % 0.39/0.60 (define @t108 () (@list @t2 @t18 @t101)) % 0.39/0.60 (define @t109 () (forall @t108 @t107)) % 0.39/0.60 (define @t110 () (@list @t101)) % 0.39/0.60 (define @t111 () (forall @t110 @t107)) % 0.39/0.60 (define @t112 () (forall @t110 @t106)) % 0.39/0.60 (define @t113 () (or @t105 @t104 @t112 @t24)) % 0.39/0.60 (define @t114 () (forall @t29 (or (not @t27) (not @t26)))) % 0.39/0.60 (define @t115 () (or @t105 @t104 @t114 @t24)) % 0.39/0.60 (define @t116 () (not @t114)) % 0.39/0.60 (define @t117 () (=> @t116 @t24)) % 0.39/0.60 (define @t118 () (forall @t29 (not @t28))) % 0.39/0.60 (define @t119 () (not @t118)) % 0.39/0.60 (define @t120 () (not @t19)) % 0.39/0.60 (define @t121 () (not (forall @t22 (or @t104 @t120)))) % 0.39/0.60 (define @t122 () (forall @t22 (not @t21))) % 0.39/0.60 (define @t123 () (not @t122)) % 0.39/0.60 (define @t124 () (not (tptp.member @t2 @t80))) % 0.39/0.60 (define @t125 () (forall @t6 (or (not (tptp.member @t2 @t73)) (not (forall @t22 (or @t98 @t120)))))) % 0.39/0.60 (define @t126 () (and (forall @t6 (or @t124 (tptp.subset @t2 @t73))) @t125 (forall @t108 (or @t124 @t98 @t24 @t103 @t102)))) % 0.39/0.60 (define @t127 () (= @t84 @t126)) % 0.39/0.60 (define @t128 () (not @t99)) % 0.39/0.60 (define @t129 () (not @t91)) % 0.39/0.60 (define @t130 () (or @t129 @t128)) % 0.39/0.60 (define @t131 () (tptp.member @t75 @t100)) % 0.39/0.60 (define @t132 () (not @t131)) % 0.39/0.60 (define @t133 () (tptp.member @t100 @t80)) % 0.39/0.60 (define @t134 () (not @t133)) % 0.39/0.60 (define @t135 () (or @t134 @t132)) % 0.39/0.60 (define @t136 () (@list @t135)) % 0.39/0.60 (define @t137 () (tptp.member @t100 @t81)) % 0.39/0.60 (define @t138 () (not @t137)) % 0.39/0.60 (define @t139 () (or @t138 @t132)) % 0.39/0.60 (define @t140 () (tptp.member @t100 @t79)) % 0.39/0.60 (define @t141 () (not @t140)) % 0.39/0.60 (define @t142 () (and @t133 @t141)) % 0.39/0.60 (define @t143 () (= @t137 @t142)) % 0.39/0.60 (define @t144 () (not @t142)) % 0.39/0.60 (define @t145 () (= @t74 @t100)) % 0.39/0.60 (define @t146 () (= @t140 @t145)) % 0.39/0.60 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.39/0.60 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.39/0.60 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.60 (assume @p4 (forall @t11 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t10))) % 0.39/0.60 (assume @p5 (forall @t11 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.60 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.60 (assume @p7 (forall (@list @t1 @t4 @t12) (= (tptp.member @t1 (tptp.difference @t12 @t4)) (and (tptp.member @t1 @t12) (not (tptp.member @t1 @t4)))))) % 0.39/0.60 (assume @p8 @t17) % 0.39/0.60 (assume @p9 (forall @t11 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t13 (= @t2 @t1))))) % 0.39/0.60 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) @t23))) % 0.39/0.60 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t20 @t19))))) % 0.39/0.60 (assume @p12 (forall @t8 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t10))))) % 0.39/0.60 (assume @p13 @t44) % 0.39/0.60 (assume @p14 (forall (@list @t4 @t45) (= (tptp.equivalence @t45 @t4) (and (forall @t6 (=> @t5 @t49)) (forall @t34 (=> @t32 (=> @t46 (tptp.apply @t45 @t18 @t2)))) (forall @t48 (=> (and @t5 @t20 (tptp.member @t25 @t4)) @t47)))))) % 0.39/0.60 (assume @p15 (forall (@list @t45 @t12 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t12 @t45)) (and @t36 (tptp.apply @t45 @t4 @t2))))) % 0.39/0.60 (assume @p16 (forall (@list @t45 @t12) (= (tptp.pre_order @t45 @t12) (and (forall @t6 (=> @t36 @t49)) (forall @t48 (=> (and @t36 (tptp.member @t18 @t12) (tptp.member @t25 @t12)) @t47)))))) % 0.39/0.60 (assume @p17 (forall @t6 (= (tptp.non_overlapping @t2) (exists (@list @t50) (tptp.partition @t2 @t50))))) % 0.39/0.60 (assume @p18 (forall (@list @t4 @t1 @t52) (= (tptp.insertIntoMember @t4 @t1 @t52) (tptp.union (tptp.union @t1 @t14) (tptp.difference @t52 @t51))))) % 0.39/0.60 (assume @p19 (forall @t8 (= (= @t1 (tptp.unaryUnion @t4)) (forall (@list @t52) (= (tptp.member @t52 @t1) (exists (@list @t53) (and (tptp.member @t52 @t53) (tptp.member @t53 @t4)))))))) % 0.39/0.60 (assume @p20 @t67) % 0.39/0.60 (assume @p21 true) % 0.39/0.60 (step @p22 :rule evaluate :args ((= true false))) % 0.39/0.60 (step @p23 :rule instantiate :premises (@p7) :args ((@list @t75 @t74 @t73))) % 0.39/0.60 (step @p24 :rule aci_norm :args ((= (or (or @t70 @t69) @t68) @t71))) % 0.39/0.60 (step @p25 :rule refl :args (@t68)) % 0.39/0.60 (step @p26 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 0.39/0.60 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t63) @t68))) % 0.39/0.60 (step @p28 :rule trans :premises (@p27 @p24)) % 0.39/0.60 (step @p29 :rule bool-impl-elim :args (@t63 @t68)) % 0.39/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.60 (step @p31 :rule cong :premises (@p30) :args ((forall @t65 (=> @t63 @t68)))) % 0.39/0.60 (step @p32 :rule bool-and-de-morgan :args (@t57 @t55 true)) % 0.39/0.60 (step @p33 :rule cong :premises (@p32) :args (@t76)) % 0.39/0.60 (step @p34 :rule cong :premises (@p33) :args (@t77)) % 0.39/0.60 (step @p35 :rule exists-elim :args ((= @t60 @t77))) % 0.39/0.60 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.60 (step @p37 :rule refl :args (@t63)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37 @p36) :args (@t64)) % 0.39/0.60 (step @p39 :rule cong :premises (@p38) :args (@t66)) % 0.39/0.60 (step @p40 :rule trans :premises (@p39 @p31)) % 0.39/0.60 (step @p41 :rule cong :premises (@p40) :args (@t67)) % 0.39/0.60 (step @p42 :rule eq_resolve :premises (@p20 @p41)) % 0.39/0.60 (step @p43 :rule skolemize :premises (@p42)) % 0.39/0.60 (step @p44 :rule bool-double-not-elim :args (@t78)) % 0.39/0.60 (step @p45 :rule refl :args (@t87)) % 0.39/0.60 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t87 (not @t86)))) % 0.39/0.60 (step @p47 :rule cnf_or_neg :args (@t87 0)) % 0.39/0.60 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.60 (step @p49 :rule reordering :premises (@p48) :args ((or @t78 @t87))) % 0.39/0.60 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t78 @t88 @t89)) % 0.39/0.60 (step @p51 :rule cnf_equiv_pos1 :args (@t93)) % 0.39/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t86 @t92 (not @t93)))) % 0.39/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p23) :args (@t92 @t94 (@list @t78 @t93))) % 0.39/0.60 (step @p54 :rule cnf_and_pos :args (@t92 1)) % 0.39/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t90 @t95))) % 0.39/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t90 @t96 @t97)) % 0.39/0.60 (step @p57 :rule false_intro :premises (@p56)) % 0.39/0.60 (step @p58 :rule eq-symm :args (@t2 @t4)) % 0.39/0.60 (step @p59 :rule refl :args (@t15)) % 0.39/0.60 (step @p60 :rule cong :premises (@p59 @p58) :args (@t16)) % 0.39/0.60 (step @p61 :rule cong :premises (@p60) :args (@t17)) % 0.39/0.60 (step @p62 :rule eq_resolve :premises (@p8 @p61)) % 0.39/0.60 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t100 @t74))) % 0.39/0.60 (step @p64 :rule instantiate :premises (@p7) :args ((@list @t100 @t79 @t80))) % 0.39/0.60 (step @p65 :rule bool-double-not-elim :args (@t82)) % 0.39/0.60 (step @p66 :rule nary_cong :premises (@p45 @p65) :args ((or @t87 (not @t83)))) % 0.39/0.60 (step @p67 :rule cnf_or_neg :args (@t87 2)) % 0.39/0.60 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t82 @t87))) % 0.39/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p43) :args (@t82 @t88 @t89)) % 0.39/0.60 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t100))) % 0.39/0.60 (step @p72 :rule aci_norm :args ((= @t107 (or @t105 @t104 @t24 @t103 @t102)))) % 0.39/0.60 (step @p73 :rule cong :premises (@p72) :args (@t109)) % 0.39/0.60 (step @p74 :rule quant-merge-prenex :args ((= (forall @t34 @t111) @t109))) % 0.39/0.60 (step @p75 :rule refl :args (@t24)) % 0.39/0.60 (step @p76 :rule alpha_equiv :args (@t112 (@list @t101) (@list @t25))) % 0.39/0.60 (step @p77 :rule refl :args (@t104)) % 0.39/0.60 (step @p78 :rule refl :args (@t105)) % 0.39/0.60 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75) :args (@t113)) % 0.39/0.60 (step @p80 :rule quant-miniscope-or :args ((= @t111 @t113))) % 0.39/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.39/0.60 (step @p82 :rule symm :premises (@p81)) % 0.39/0.60 (step @p83 :rule cong :premises (@p82) :args ((forall @t34 @t115))) % 0.39/0.60 (step @p84 :rule trans :premises (@p83 @p74)) % 0.39/0.60 (step @p85 :rule trans :premises (@p84 @p73)) % 0.39/0.60 (step @p86 :rule aci_norm :args ((= (or (or @t105 @t104) (or @t114 @t24)) @t115))) % 0.39/0.60 (step @p87 :rule bool-double-not-elim :args (@t114)) % 0.39/0.60 (step @p88 :rule nary_cong :premises (@p87 @p75) :args ((or (not @t116) @t24))) % 0.39/0.60 (step @p89 :rule bool-impl-elim :args (@t116 @t24)) % 0.39/0.60 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.60 (step @p91 :rule bool-and-de-morgan :args (@t5 @t20 true)) % 0.39/0.60 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t32) @t117))) % 0.39/0.60 (step @p93 :rule trans :premises (@p92 @p86)) % 0.39/0.60 (step @p94 :rule bool-impl-elim :args (@t32 @t117)) % 0.39/0.60 (step @p95 :rule trans :premises (@p94 @p93)) % 0.39/0.60 (step @p96 :rule cong :premises (@p95) :args ((forall @t34 (=> @t32 @t117)))) % 0.39/0.60 (step @p97 :rule trans :premises (@p96 @p85)) % 0.39/0.60 (step @p98 :rule refl :args (@t24)) % 0.39/0.60 (step @p99 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.39/0.60 (step @p100 :rule cong :premises (@p99) :args (@t118)) % 0.39/0.60 (step @p101 :rule cong :premises (@p100) :args (@t119)) % 0.39/0.60 (step @p102 :rule exists-elim :args ((= @t30 @t119))) % 0.39/0.60 (step @p103 :rule trans :premises (@p102 @p101)) % 0.39/0.60 (step @p104 :rule cong :premises (@p103 @p98) :args (@t31)) % 0.39/0.60 (step @p105 :rule refl :args (@t32)) % 0.39/0.60 (step @p106 :rule cong :premises (@p105 @p104) :args (@t33)) % 0.39/0.60 (step @p107 :rule cong :premises (@p106) :args (@t35)) % 0.39/0.60 (step @p108 :rule trans :premises (@p107 @p97)) % 0.39/0.60 (step @p109 :rule bool-impl-elim :args (@t36 @t121)) % 0.39/0.60 (step @p110 :rule cong :premises (@p109) :args ((forall @t6 (=> @t36 @t121)))) % 0.39/0.60 (step @p111 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.39/0.60 (step @p112 :rule cong :premises (@p111) :args (@t122)) % 0.39/0.60 (step @p113 :rule cong :premises (@p112) :args (@t123)) % 0.39/0.60 (step @p114 :rule exists-elim :args ((= @t23 @t123))) % 0.39/0.60 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.60 (step @p116 :rule refl :args (@t36)) % 0.39/0.60 (step @p117 :rule cong :premises (@p116 @p115) :args (@t37)) % 0.39/0.60 (step @p118 :rule cong :premises (@p117) :args (@t38)) % 0.39/0.60 (step @p119 :rule trans :premises (@p118 @p110)) % 0.39/0.60 (step @p120 :rule bool-impl-elim :args (@t5 @t39)) % 0.39/0.60 (step @p121 :rule cong :premises (@p120) :args (@t40)) % 0.39/0.60 (step @p122 :rule nary_cong :premises (@p121 @p119 @p108) :args (@t41)) % 0.39/0.60 (step @p123 :rule refl :args (@t42)) % 0.39/0.60 (step @p124 :rule cong :premises (@p123 @p122) :args (@t43)) % 0.39/0.60 (step @p125 :rule cong :premises (@p124) :args (@t44)) % 0.39/0.60 (step @p126 :rule eq_resolve :premises (@p13 @p125)) % 0.39/0.60 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t80 @t73))) % 0.39/0.60 (step @p128 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p129 :rule nary_cong :premises (@p45 @p128) :args ((or @t87 (not @t85)))) % 0.39/0.60 (step @p130 :rule cnf_or_neg :args (@t87 1)) % 0.39/0.60 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.39/0.60 (step @p132 :rule reordering :premises (@p131) :args ((or @t84 @t87))) % 0.39/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p43) :args (@t84 @t88 @t89)) % 0.39/0.60 (step @p134 :rule cnf_equiv_pos1 :args (@t127)) % 0.39/0.60 (step @p135 :rule reordering :premises (@p134) :args ((or @t85 @t126 (not @t127)))) % 0.39/0.60 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p127) :args (@t126 @t94 (@list @t84 @t127))) % 0.39/0.60 (step @p137 :rule cnf_and_pos :args (@t126 1)) % 0.39/0.60 (step @p138 :rule reordering :premises (@p137) :args ((or @t125 (not @t126)))) % 0.39/0.60 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t125 @t96 (@list @t126))) % 0.39/0.60 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t75))) % 0.39/0.60 (step @p141 :rule cnf_and_pos :args (@t92 0)) % 0.39/0.60 (step @p142 :rule reordering :premises (@p141) :args ((or @t91 @t95))) % 0.39/0.60 (step @p143 :rule chain_m_resolution :premises (@p142 @p53) :args (@t91 @t96 @t97)) % 0.39/0.60 (step @p144 :rule cnf_or_pos :args (@t130)) % 0.39/0.60 (step @p145 :rule reordering :premises (@p144) :args ((or @t129 @t128 (not @t130)))) % 0.39/0.60 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p140) :args (@t128 @t94 (@list @t91 @t130))) % 0.39/0.60 (step @p147 :rule skolemize :premises (@p146)) % 0.39/0.60 (step @p148 :rule bool-double-not-elim :args (@t131)) % 0.39/0.60 (step @p149 :rule refl :args (@t135)) % 0.39/0.60 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t135 (not @t132)))) % 0.39/0.60 (step @p151 :rule cnf_or_neg :args (@t135 1)) % 0.39/0.60 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.39/0.60 (step @p153 :rule reordering :premises (@p152) :args ((or @t131 @t135))) % 0.39/0.60 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t131 @t88 @t136)) % 0.39/0.60 (step @p155 :rule cnf_or_pos :args (@t139)) % 0.39/0.60 (step @p156 :rule reordering :premises (@p155) :args ((or @t132 @t138 (not @t139)))) % 0.39/0.60 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p71) :args (@t138 @t94 (@list @t131 @t139))) % 0.39/0.60 (step @p158 :rule cnf_equiv_pos2 :args (@t143)) % 0.39/0.60 (step @p159 :rule reordering :premises (@p158) :args ((or @t137 @t144 (not @t143)))) % 0.39/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p64) :args (@t144 (@list true false) (@list @t137 @t143))) % 0.39/0.60 (step @p161 :rule bool-double-not-elim :args (@t133)) % 0.39/0.60 (step @p162 :rule nary_cong :premises (@p149 @p161) :args ((or @t135 (not @t134)))) % 0.39/0.60 (step @p163 :rule cnf_or_neg :args (@t135 0)) % 0.39/0.60 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.39/0.60 (step @p165 :rule reordering :premises (@p164) :args ((or @t133 @t135))) % 0.39/0.60 (step @p166 :rule chain_m_resolution :premises (@p165 @p147) :args (@t133 @t88 @t136)) % 0.39/0.60 (step @p167 :rule bool-double-not-elim :args (@t140)) % 0.39/0.60 (step @p168 :rule refl :args (@t134)) % 0.39/0.60 (step @p169 :rule refl :args (@t142)) % 0.39/0.60 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args ((or @t142 @t134 (not @t141)))) % 0.39/0.60 (step @p171 :rule cnf_and_neg :args (@t142)) % 0.39/0.60 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.39/0.60 (step @p173 :rule reordering :premises (@p172) :args ((or @t134 @t140 @t142))) % 0.39/0.60 (step @p174 :rule chain_m_resolution :premises (@p173 @p166 @p160) :args (@t140 (@list false true) (@list @t133 @t142))) % 0.39/0.60 (step @p175 :rule cnf_equiv_pos1 :args (@t146)) % 0.39/0.60 (step @p176 :rule reordering :premises (@p175) :args ((or @t141 @t145 (not @t146)))) % 0.39/0.60 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p63) :args (@t145 @t94 (@list @t140 @t146))) % 0.39/0.60 (step @p178 :rule symm :premises (@p177)) % 0.39/0.60 (step @p179 :rule refl :args (@t75)) % 0.39/0.60 (step @p180 :rule cong :premises (@p179 @p178) :args (@t131)) % 0.39/0.60 (step @p181 :rule true_intro :premises (@p154)) % 0.39/0.60 (step @p182 :rule symm :premises (@p181)) % 0.39/0.60 (step @p183 :rule trans :premises (@p182 @p180 @p57)) % 0.39/0.60 (step @p184 false :rule eq_resolve :premises (@p183 @p22)) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------